The document Mensuration - Examples (with Solutions), Geometry, Quantitative Reasoning Quant Notes | EduRev is a part of the Banking Exams Course Quantitative Aptitude for Banking Preparation.

All you need of Banking Exams at this link: Banking Exams

**Areas**

Areas of some well-known figures are given below:

**Example.1 A horizontal pipe for carrying floodwater has a diameter of 1 m. When water in it is 10 cm deep then the width of water surface AB is equal to ________ cm.**

**(1) 10 cm ****(2) 25 cm****(3) 60 cm ****(4) 70 cm****(5) None**

Correct Answer is Option (3).

- Let O be the centre of circle.
- In ΔOAD

⇒ 502 = 402 + x^{2}

⇒ 2500 – 1600 = x^{2}

⇒ x^{2}= 900

⇒ x = 30- ∴ AB = 2x = 60 cm.

Try yourself:The area of quadrilateral PQRS is 228cm^{2}. Find the length of QA.

View Solution

**Example.2 Area of the shaded region is:**

Correct Answer is Option (1).

**Volume**

**Length of a Diagonal**

- The length of diagonal of a cuboid =
- The length of a diagonal of a cube =

**Example.3 An insect is crawling to climb a 20 metre long pipe of diameter 3.5 metres. If the insect take 4 circular rounds to reach the top of the building, then what will be total distance (in nearer metres) traveled by insect to reach the top?****(1) 47 m ****(2) 48 m ****(3) 49 m ****(4) 50 m**

- Since the insect is moving in circular way, so it will cover the distance which will be 4 times the distance of the longest side AB of a right angled triangle. In the figure AO is equal to the circumference of the pipe.

AO = πd = = 11m

BO = 5 m

AB = = = 12.08 m- Total distance traveled = 12.08 × 4 = 48.32 m
- Hence distance in nearer meters = 48 m

Try yourself:What is the volume of a cone having radius of 21cm and height of 5cm?

View Solution

**Example.4 The surface area of a cube is 726 sq metres. Find the volume of the cube****(1) 1234 m ^{2} **

Correct Answer is Option(4).

- Surface area S = 726 m
Volume V = ?^{2}- In a cube,
- S = 6a
= 726 ⇒ a^{2}= 121 ⇒ a = 11 m^{2}- So, V = a
^{3}= 11^{3}=1331 m^{3}.

Offer running on EduRev: __Apply code STAYHOME200__ to get INR 200 off on our premium plan EduRev Infinity!

66 videos|50 docs|90 tests